Abstract
Based on the theory in [9], the stability of steady-state solutions is established, the critical curve which describes the transition of steady-state solution from stable to unstable is found. Under certain conditions, a Hopf bifurcation occurs, the stable steady-state solution will change to temporal periodic solution, the amplitude A increases linearly with order parameter near the Hopf bifurcation. In the neighbourhood of the critical point from first-order phase transition to second-order phase transition, new singularity appears in both the amplitude and the period of the temporal periodic oscillation. It provides a more convenient condition for the search of temporal periodic oscillation and chaotic behaviour in experiments.
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